The solution to given system of equations is x = 2 and y = -5
<em><u>Solution:</u></em>
<em><u>Given the system of equations are:</u></em>
4x + y = 3 ---------- eqn 1
-2x + 3y = -19 ---------- eqn 2
We have to find the solution to above system of equations
<em><u>We can solve the system by substitution method</u></em>
From eqn 1,
4x + y = 3
Isolate y to one side
y = 3 - 4x ----------- eqn 3
<em><u>Substitute eqn 3 in eqn 2</u></em>
-2x + 3(3 - 4x) = -19
-2x + 9 - 12x = -19
Combine the like terms
-14x = -19 - 9
-14x = -28
Divide both sides of equation by -14
<h3>x = 2</h3>
<em><u>Substitute x = 2 in eqn 3</u></em>
y = 3 - 4(2)
y = 3 - 8
<h3>y = -5</h3>
Thus the solution is x = 2 and y = -5
Answer:
Step-by-step explanation:
Polynomial is in standard form as it is written in descending order of their powers.
Answer:
4. x = 16.8
5. x = 35.98
Step-by-step explanation:
For both triangles that you need to work on, use the trigonometric function which is tan and you are dividing opposite by adjacent for the answers.
For number 4, the equation you are setting up is tan 35 = x/24. Multiply 24 on both sides to get the answer which is 16.8 for the x side.
For number 5, the equation you are setting up is tan 17 = 11/x. As a result on your calculator, you should get 35.98 for the x side.
The price of the Xbox One after tax is $265
<h3><u>
Solution:</u></h3>
The price of a Xbox one is $250
The tax on Xbox one is 6%
Now, the tax of 6% on 250 is calculated as follows:-
So, the tax on Xbox one is $15
The total price of box including tax can be calculated by adding price of box and tax on box
<em>Total price of Xbox after tax = actual price of the Xbox One + Tax on the Xbox One
</em>
= $250 + $15
= $265
Hence, the price of the Xbox One after tax is $265
When we make inferences about the difference of two independent population proportions, we assume that it is a random sample, and the number of successes and failures are at least 15 in each group.
Two independent proportions tests involve comparing the proportions of two unrelated datasets.
For these two datasets to be regarded as an independent population, the following must be true or assumed to be true
- The datasets must represent a random sample
- Each dataset must contain at least 15 successes and failures
Hence, the above highlights are the assumptions of two independent population proportions.
To learn more about independent populations from the given link
brainly.com/question/23989150
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